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Conditional Probability

Conditional Probability

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Question 287
a.

State the term used to describe two events XXX and YYY when P(X∩Y)=0P(X \cap Y) = 0P(X∩Y)=0.

[1]
b.

An engineering laboratory tests the reliability of a high-performance drone. The events SSS (sensor failure) and III (interference) are independent. It is observed that the probability of a sensor failure is P(S)=58P(S) = \frac{5}{8}P(S)=85​ and the probability that the drone experiences at least one of these issues is P(S∪I)=56P(S \cup I) = \frac{5}{6}P(S∪I)=65​.

Find

P(I)P(I)P(I)

[3]
c.

P(S∩I′)P(S \cap I')P(S∩I′)

[2]
d.

P(S′∣I)P(S' | I)P(S′∣I)

[2]
Markscheme

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability

368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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